"We are hopeful that the United States does not make this strategic mistake", foreign ministry spokesman Bahram Qasemi was quoted as saying by the state news agency IRNA. "They will not condemn Iran", Rouhani said, according to state media.
If Trump declines to certify Iran's compliance, US congressional leaders would have 60 days to decide whether to reimpose sanctions on Tehran suspended under the agreement.
Speaking to reporters at his weekly press conference in Tehran on Monday, Qassemi hailed recent remarks made by IRGC Commander Major General Mohammad Ali Jafari, who cautioned the United States government of the dire consequences of imposing new sanctions against Iran and designating the IRGC as a terrorist organization.
While Tehran agreed to limit its nuclear program for 15 years, the global community promised to ease the pre-existing sanctions imposed on the country.
The Quds Force, the IRGC's foreign espionage and paramilitary wing, and individuals and entities associated with the IRGC are on the U.S. list of foreign terrorist organizations, but the organization as a whole is not.
"Not just the nuclear deal as bad behavior, but the ballistic missile testing, destabilizing of the region, Number One state sponsor of terrorism, cyber attacks, illicit nuclear program", she continued.
British Prime Minister Theresa May, who supports the nuclear deal, and Israeli Prime Minister Benjamin Netanyahu, who opposes it, agreed in a phone call on Monday that they need to be "clear-eyed" about the threat Iran poses to the Middle East.
That process of certification is the crux of the current crisis, Trump's threat to withdraw endorsement paves the way for new sanctions on Iran, and Tehran has threatened partial or complete withdrawal from the agreement in response. "I'm very unhappy with their attitude".
Congress requires the president to certify Iranian compliance with the deal every 90 days.
Iranian President Hassan Rouhani told students at Tehran University on Saturday: "We have achieved benefits that are irreversible: nobody can roll them back, neither Trump nor 10 other Trumps".
On Sunday, tensions between Iran and the US appeared to escalate further ahead of Trump's expected policy speech on Iran later this week.
Gabriel noted that the USA exit from the JCPOA may deteriorate the North Korean crisis since Pyongyang is unlikely to agree to some sort of a nuclear deal if a similar one with Tehran fails.
Trump has repeatedly criticized the Iran deal, known formally as the Joint Comprehensive Plan of Action, calling it "an embarrassment" and promising on the campaign trail to tear it up. "We have been at odds with the United States for about 40 years now and have managed to survive despite conflicts".
"There is one thing the US Army can do and that is you have got to be ready to ensure that we have military options that our president can employ if needed", Mattis said at the annual US Army meeting. Later than week, President Trump will likely announce a new landmark Iranian nuclear deal which could reduce Iranian exports significantly and disrupt the crude oil markets.
If the United States were to "stupidly" take that step, it should perhaps consider moving its military bases outside the 2,000km range of Iranian missiles, Major General Mohammad Ali Jafari suggested, in remarks carried by the IRGC's website.
"Maintaining commercial exchanges will also become more problematic for European companies if the U.S. re-imposes secondary sanctions suspended under the JCPOA", he said.